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Proceedings Paper

Dynamical property analysis of fractionally damped van der pol oscillator and its application
Author(s): Qiuhui Zhong; Chunrui Zhang
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Paper Abstract

In this paper, the fractionally damped van der pol equation was studied. Firstly, the fractionally damped van der pol equation was transformed into a set of integer order equations. Then the Lyapunov exponents diagram was given. Secondly, it was transformed into a set of fractional integral equations and solved by a predictor-corrector method. The time domain diagrams and phase trajectory were used to describe the dynamic behavior. Finally, the fractionally damped van der pol equation was used to detect a weak signal.

Paper Details

Date Published: 15 November 2011
PDF: 7 pages
Proc. SPIE 8335, 2012 International Workshop on Image Processing and Optical Engineering, 83351T (15 November 2011); doi: 10.1117/12.919839
Show Author Affiliations
Qiuhui Zhong, Northeast Forestry Univ. (China)
Chunrui Zhang, Northeast Forestry Univ. (China)


Published in SPIE Proceedings Vol. 8335:
2012 International Workshop on Image Processing and Optical Engineering
Hai Guo; Qun Ding, Editor(s)

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